# Equivalent parallel pair of $j$-morphisms

I have a question about a definition used in nLab article on $$n$$-groupoids: https://ncatlab.org/nlab/show/n-groupoid

What does it mean that "every parallel pair of $$j$$-morphisms is equivalent for $$j>n$$? Surely, that's not a research question, but I nowhere found an answer. Does that mean that the corresponending equilizers on $$j$$-level are equivalences? (just a guess of mine)

It means that between every two $$j$$-cells with the same domain and codomain ($$j > n$$), there is a $$(j + 1)$$-cell between them (which is necessarily an equivalence by the first condition of the definition on that page) exhibiting them as equivalent.